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Finding the Fourth Proportional to 137,074.32, 189,083.70 and 80,474.76

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Solution

The fourth proportional to 137,074.32, 189,083.70 and 80,474.76 is: 111,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.32 : 189,083.70 = 80,474.76 : x
  2. Step 2: Convert to fraction form
    137,074.32/189,083.70 = 80,474.76/x
  3. Step 3: Cross multiply
    137,074.32x = 189,083.70 × 80,474.76
  4. Step 4: Simplify right side
    137,074.32x = 15,216,465,377.41
  5. Step 5: Solve for x
    x = 15,216,465,377.41/137,074.32
  6. Step 6: Final answer
    x = 111,008.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.